Question

Sec (x) * Cot (x) * Tan (x) en terminos de secante

Answer 1

$\sec(x ) = \frac{1}{ \cos(x) } \\ \cot(x) = \frac{ \cos(x) }{ \sin(x) } \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \frac{1}{ \cos(x) } \times \frac{ \cos(x) }{ \sin(x) } \times \frac{ \sin(x) }{ \cos(x) } \\ \frac{ \cos(x) \sin(x) }{ { \cos(x) }^{2} \sin(x) } = \frac{1}{ \cos(x) } = \sec(x)$